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Simplifying 5(n + 8) = -24 + -3n Reorder the terms: 5(8 + n) = -24 + -3n (8 * 5 + n * 5) = -24 + -3n (40 + 5n) = -24 + -3n Solving 40 + 5n = -24 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 40 + 5n + 3n = -24 + -3n + 3n Combine like terms: 5n + 3n = 8n 40 + 8n = -24 + -3n + 3n Combine like terms: -3n + 3n = 0 40 + 8n = -24 + 0 40 + 8n = -24 Add '-40' to each side of the equation. 40 + -40 + 8n = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 8n = -24 + -40 8n = -24 + -40 Combine like terms: -24 + -40 = -64 8n = -64 Divide each side by '8'. n = -8 Simplifying n = -8
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